Algebra and Geometry Seminar
Building 15, Room 104
K3 categories, cubic 4-folds, and the Beauville-Voisin conjecture
We discuss recent progress on the connection between 0-cycles of holomorphic symplectic varieties and structures of K3 categories. We propose that there exists a sheaf/cycle correspondence for any K3 category, which controls the geometry of algebraically coisotropic subvarieties of certain holomorphic symplectic varieties.
Two concrete cases will be illustrated in details:
(1) the derived category of a K3 surface (joint with Qizheng Yin and Xiaolei Zhao),
(2) Kuznetsov category of a cubic 4-fold (joint with Qizheng Yin).
If time permits, we will also discuss the connection to rational curves in cubic 4-folds.
For more information, please contact Mathematics Dept. by phone at 626-395-4335 or by email at [email protected].
Event Series
Algebra & Geometry Seminar Series
Event Sponsors